Metrics for Henrywood and Agarwal, Equation (12)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze398.0ms (3.9%)

Memory

7.7MiB live, 483.2MiB allocated; 31ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	4
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	5
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	6
15.4%	12.5%	68.6%	0.2%	0%	18.7%	0%	7
16.7%	12.5%	62.3%	0.2%	0%	24.9%	0%	8
20%	14%	56.1%	0.2%	0%	29.6%	0%	9
20%	14%	56.1%	0.2%	0%	29.6%	0%	10
20%	14%	56.1%	0.2%	0%	29.6%	0%	11
22.9%	14.8%	49.9%	0.2%	0%	35.1%	0%	12

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample4.8s (47.8%)

Memory

-44.8MiB live, 5 227.8MiB allocated; 1.3s collecting garbage

Samples

1.8s	13 044×	0	invalid
1.4s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.4s

ival-div: 772.0ms (32.2% of total)

ival-mult: 729.0ms (30.4% of total)

ival-pow: 526.0ms (21.9% of total)

ival-pow2: 218.0ms (9.1% of total)

ival-sub: 118.0ms (4.9% of total)

exact: 23.0ms (1% of total)

ival-assert: 8.0ms (0.3% of total)

adjust: 7.0ms (0.3% of total)

Bogosity

explain296.0ms (2.9%)

Memory

-22.9MiB live, 320.3MiB allocated; 10ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
60	-	5	(4.017048705028562e-65 0.23285418590652537 5.54070280713616e+255 3.212253512000552e+179 3.606782918638319e+93)	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
52	-	2	(9.83094903728398e-238 4.016473541205666e+78 8.918561339994438e+81 3.524322934345727e+174 -8.999877316352332e+108)	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
37	-	0	-	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`
26	-	2	(-2.5072246739532465e-38 -5.120023833541959e+271 -1.1838454155182422e+288 8.548465867369025e-91 -1.580973699387847e+73)	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
18	-	0	-	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`
0	-	0	-	`D`
0	-	0	-	`(*.f64 #s(literal 2 binary64) d)`
0	-	0	-	`(/.f64 h l)`
0	-	0	-	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`
0	-	0	-	`d`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(/.f64 d l)`
0	-	0	-	`(*.f64 M D)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 d h)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`
0	-	0	-	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`
0	-	0	-	`M`
0	-	0	-	`h`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	30	0
↳	`(/.f64 d l)`	underflow	30
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	28	0
↳	`(/.f64 d h)`	overflow	28
`pow.f64`	`(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	oflow-rescue	25	0
↳	`(/.f64 d l)`	overflow	25
`pow.f64`	`(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`	uflow-rescue	22	0
↳	`(/.f64 d h)`	underflow	22
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*no**	13	0
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*uo**	9	0
↳	`(/.f64 d h)`	underflow	22
↳	`(/.f64 d l)`	underflow	30
↳	`(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`	underflow	21
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	98
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	98
↳	`(/.f64 h l)`	overflow	24
↳	`(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))`	overflow	94
↳	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	overflow	94
↳	`(*.f64 M D)`	overflow	33
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	50
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*nu**	8	0
`/.f64`	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	o/n	8	0
↳	`(*.f64 M D)`	overflow	33
`*.f64`	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`	*no**	7	0
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*uo**	3	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	underflow	70
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	underflow	70
↳	`(*.f64 M D)`	underflow	27
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	underflow	32
↳	`(/.f64 h l)`	overflow	24
`*.f64`	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))`	*ou**	3	0
↳	`(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))`	overflow	98
↳	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))`	overflow	98
↳	`(*.f64 M D)`	overflow	33
↳	`(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))`	overflow	50
↳	`(/.f64 h l)`	underflow	19

Confusion

	Predicted +	Predicted -
+	69	6
-	30	151

Precision

0.696969696969697

Recall

0.92

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	69	0	6
-	30	0	151

Precision?

0.696969696969697

Recall?

0.92

Freqs

test

number	freq
0	157
1	56
2	31
3	10
4	2

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

91.0ms

512×

valid

Compiler

Compiled 347 to 70 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-div: 19.0ms (29.9% of total)

ival-pow: 19.0ms (29.9% of total)

ival-mult: 17.0ms (26.8% of total)

ival-pow2: 5.0ms (7.9% of total)

ival-sub: 2.0ms (3.1% of total)

exact: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

preprocess140.0ms (1.4%)

Memory

-6.3MiB live, 95.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	588
1	546	580
2	2128	575
3	6640	575
0	22	29
0	38	27
1	67	27
2	180	27
3	1202	27
4	4872	27
0	8241	26

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Outputs

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))

Symmetry

(abs M)

(abs D)

(sort M D)

Compiler

Compiled 35 to 22 computations (37.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Status

Accuracy

Program

▶

71.1%

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Compiler

Compiled 35 to 22 computations (37.1% saved)

series83.0ms (0.8%)

Memory

-2.1MiB live, 90.7MiB allocated; 5ms collecting garbage

Counts

22 → 48

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(/.f64 h l)

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (/ d h) #s(hole binary64 (/ d h)))
#s(approx d #s(hole binary64 d))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (/ d l) #s(hole binary64 (/ d l)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (* 2 d) #s(hole binary64 (* 2 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 1))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx h #s(hole binary64 h))
#s(approx (/ h l) #s(hole binary64 (/ h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx l #s(hole binary64 l))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx D #s(hole binary64 D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))

Calls

15 calls:

Time	Variable		Point	Expression
13.0ms	D	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
10.0ms	d	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
9.0ms	h	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
6.0ms	d	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
5.0ms	d	@	inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))

rewrite56.0ms (0.6%)

Memory

0.9MiB live, 47.9MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	1681
0	254	1533
0	981	1518

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

70 → 102

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(/.f64 h l)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (/ d h) #s(hole binary64 (/ d h)))
#s(approx d #s(hole binary64 d))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (/ d l) #s(hole binary64 (/ d l)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (* 2 d) #s(hole binary64 (* 2 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 1))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx h #s(hole binary64 h))
#s(approx (/ h l) #s(hole binary64 (/ h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx l #s(hole binary64 l))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx D #s(hole binary64 D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))

Outputs
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(sqrt.f64 (/.f64 d h))
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 d) (neg.f64 h))
(/.f64 d h)
d
h
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(sqrt.f64 (/.f64 d l))
(exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 d) (neg.f64 l))
(/.f64 d l)
l
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 h l)))
(.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l)))
(/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)
(.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))
(/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d)
(/.f64 (neg.f64 (.f64 D M)) (neg.f64 (.f64 #s(literal 2 binary64) d)))
(/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d))
(*.f64 D M)
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
(+.f64 d d)
(/.f64 (neg.f64 h) (neg.f64 l))
(/.f64 h l)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (*.f64 d d))) d))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))
#s(approx (pow (/ d h) (/ 1 2)) (sqrt.f64 (/.f64 d h)))
#s(approx (/ d h) (/.f64 d h))
#s(approx d d)
#s(approx (pow (/ d l) (/ 1 2)) (sqrt.f64 (/.f64 d l)))
#s(approx (/ d l) (/.f64 d l))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) (.f64 (*.f64 d d) l)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (fma.f64 d d (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) l))) (.f64 d d)))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) (.f64 (*.f64 d d) l)))
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (*.f64 d d)))
#s(approx (pow (/ (* M D) (* 2 d)) 2) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (*.f64 d d)))
#s(approx (/ (* M D) (* 2 d)) (.f64 (/.f64 (.f64 D M) d) #s(literal 1/2 binary64)))
#s(approx (* 2 d) (*.f64 #s(literal 2 binary64) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))) d))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) d)))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))))
#s(approx (pow (/ d h) (/ 1 2)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d h)))))
#s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx h h)
#s(approx (/ h l) (/.f64 h l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (neg.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) d)))) h)))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (pow (/ d h) (/ 1 2)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d h))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 (.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (.f64 l h)) (.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)))
#s(approx l l)
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) (.f64 d d))) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))))
#s(approx (pow (/ d l) (/ 1 2)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l))))
#s(approx (* M D) (*.f64 D M))
#s(approx M M)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 M M)) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))) (*.f64 M M)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (*.f64 M M)))
#s(approx D D)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))) (*.f64 D D)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (*.f64 D D)))

eval13.0ms (0.1%)

Memory: 18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 853 to 488 computations (89.9% saved)

prune90.0ms (0.9%)

Memory

-13.8MiB live, 83.9MiB allocated; 6ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	103	15	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	15	119

Accuracy

90.7%

Counts

119 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.9%	(.f64 (pow.f64 (.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	73.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
	62.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) (.f64 d d))) l)))
	38.8%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	41.5%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
▶	71.0%	(.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	69.0%	(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	70.0%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
▶	33.5%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	25.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))))
	26.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (*.f64 d d))) d))
▶	56.5%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
	30.7%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))
	22.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
▶	27.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))

Compiler

Compiled 1 340 to 892 computations (33.4% saved)

series237.0ms (2.4%)

Memory

23.4MiB live, 304.3MiB allocated; 18ms collecting garbage

Counts

59 → 159

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))
(/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)
(.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h)
(.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(/.f64 M #s(literal 2 binary64))
M
(/.f64 D d)
D
#s(literal 1/2 binary64)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))
(.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d)
(sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))
(pow.f64 (*.f64 l h) #s(literal -1 binary64))
(*.f64 l h)
#s(literal -1 binary64)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
(fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))
#s(literal -1/8 binary64)
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)
(pow.f64 (*.f64 D M) #s(literal 2 binary64))
(*.f64 D M)
(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
(pow.f64 (/.f64 h l) #s(literal 3 binary64))
(/.f64 h l)
#s(literal 3 binary64)
(*.f64 (sqrt.f64 (/.f64 h l)) d)
(sqrt.f64 (/.f64 h l))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
(.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) d)
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(*.f64 M D)
(*.f64 #s(literal 2 binary64) d)
(.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 d h) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (/ d h) #s(hole binary64 (/ d h)))
#s(approx d #s(hole binary64 d))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (/ d l) #s(hole binary64 (/ d l)))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))))
#s(approx (* (pow (* (/ M 2) (/ D d)) 2) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (pow (* (/ M 2) (/ D d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (* (/ M 2) (/ D d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (/ D d) #s(hole binary64 (/ D d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (* (sqrt (pow (* l h) -1)) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))) d)))
#s(approx (* -1/8 (/ (pow (* D M) 2) d)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (pow M 2)) d))))
#s(approx (/ (pow (* D M) 2) d) #s(hole binary64 (/ (* (pow D 2) (pow M 2)) d)))
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* d (sqrt (/ h l)))))
#s(approx (* (* -1 d) (sqrt (pow (* l h) -1))) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* -1 d) #s(hole binary64 (* -1 d)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (* 2 d) #s(hole binary64 (* 2 d)))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (pow (/ d h) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log d) (log (/ 1 h)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 1))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (sqrt (/ h l)))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3)))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 1))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (pow (/ d h) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log (/ 1 h)) (* -1 (log (/ 1 d))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))))
#s(approx (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))))
#s(approx (pow (/ d h) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log (/ -1 h)) (* -1 (log (/ -1 d))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx h #s(hole binary64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx (sqrt (pow (* l h) -1)) #s(hole binary64 (sqrt (/ 1 (* h l)))))
#s(approx (pow (* l h) -1) #s(hole binary64 (/ 1 (* h l))))
#s(approx (* l h) #s(hole binary64 (* h l)))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l))))))
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (sqrt (/ (pow h 3) (pow l 3)))))
#s(approx (pow (/ h l) 3) #s(hole binary64 (/ (pow h 3) (pow l 3))))
#s(approx (/ h l) #s(hole binary64 (/ h l)))
#s(approx (sqrt (/ h l)) #s(hole binary64 (sqrt (/ h l))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx (pow (/ d h) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log d) (* -1 (log h)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (* (sqrt (pow (* l h) -1)) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (sqrt (pow (* l h) -1)) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))))
#s(approx (* (* -1 d) (sqrt (pow (* l h) -1))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))
#s(approx (pow (/ d h) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log (* -1 d)) (log (/ -1 h)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx l #s(hole binary64 l))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (* (sqrt (/ h l)) (pow (sqrt -1) 2))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M)))
#s(approx M #s(hole binary64 M))
#s(approx (pow (* D M) 2) #s(hole binary64 (* (pow D 2) (pow M 2))))
#s(approx (* D M) #s(hole binary64 (* D M)))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l)))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx D #s(hole binary64 D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l)))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))

Calls

15 calls:

Time	Variable		Point	Expression
43.0ms	h	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* -1/8 (/ (pow (* D M) 2) d)) -1/8 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (/ h l) 3 (* (sqrt (/ h l)) d) (sqrt (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d h) 1/4) 1/4)
42.0ms	d	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* -1/8 (/ (pow (* D M) 2) d)) -1/8 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (/ h l) 3 (* (sqrt (/ h l)) d) (sqrt (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d h) 1/4) 1/4)
23.0ms	h	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* -1/8 (/ (pow (* D M) 2) d)) -1/8 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (/ h l) 3 (* (sqrt (/ h l)) d) (sqrt (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d h) 1/4) 1/4)
22.0ms	d	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* -1/8 (/ (pow (* D M) 2) d)) -1/8 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (/ h l) 3 (* (sqrt (/ h l)) d) (sqrt (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d h) 1/4) 1/4)
18.0ms	d	@	inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (* -1/8 (/ (pow (* D M) 2) d)) -1/8 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (/ h l) 3 (* (sqrt (/ h l)) d) (sqrt (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d h) 1/4) 1/4)

rewrite88.0ms (0.9%)

Memory

-0.6MiB live, 95.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	487	6618
0	570	5768
0	1920	5711

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

218 → 352

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))
(/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)
(.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h)
(.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(/.f64 M #s(literal 2 binary64))
M
(/.f64 D d)
D
#s(literal 1/2 binary64)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))
(.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d)
(sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))
(pow.f64 (*.f64 l h) #s(literal -1 binary64))
(*.f64 l h)
#s(literal -1 binary64)
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(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
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(.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))
#s(literal -1/8 binary64)
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)
(pow.f64 (*.f64 D M) #s(literal 2 binary64))
(*.f64 D M)
(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
(pow.f64 (/.f64 h l) #s(literal 3 binary64))
(/.f64 h l)
#s(literal 3 binary64)
(*.f64 (sqrt.f64 (/.f64 h l)) d)
(sqrt.f64 (/.f64 h l))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
(.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) d)
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
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(.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
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#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
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#s(approx (/ (pow (* D M) 2) d) #s(hole binary64 (/ (* (pow D 2) (pow M 2)) d)))
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* d (sqrt (/ h l)))))
#s(approx (* (* -1 d) (sqrt (pow (* l h) -1))) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* -1 d) #s(hole binary64 (* -1 d)))
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#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (* 2 d) #s(hole binary64 (* 2 d)))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (pow (/ d h) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log d) (log (/ 1 h)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 1))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (sqrt (/ h l)))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3)))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 1))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (pow (/ d h) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log (/ 1 h)) (* -1 (log (/ 1 d))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))))
#s(approx (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))))
#s(approx (pow (/ d h) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log (/ -1 h)) (* -1 (log (/ -1 d))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx h #s(hole binary64 h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx (sqrt (pow (* l h) -1)) #s(hole binary64 (sqrt (/ 1 (* h l)))))
#s(approx (pow (* l h) -1) #s(hole binary64 (/ 1 (* h l))))
#s(approx (* l h) #s(hole binary64 (* h l)))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l))))))
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (sqrt (/ (pow h 3) (pow l 3)))))
#s(approx (pow (/ h l) 3) #s(hole binary64 (/ (pow h 3) (pow l 3))))
#s(approx (/ h l) #s(hole binary64 (/ h l)))
#s(approx (sqrt (/ h l)) #s(hole binary64 (sqrt (/ h l))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx (pow (/ d h) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log d) (* -1 (log h)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (* (sqrt (pow (* l h) -1)) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (sqrt (pow (* l h) -1)) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))))
#s(approx (* (* -1 d) (sqrt (pow (* l h) -1))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))
#s(approx (pow (/ d h) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log (* -1 d)) (log (/ -1 h)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx l #s(hole binary64 l))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (* (sqrt (/ h l)) (pow (sqrt -1) 2))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M)))
#s(approx M #s(hole binary64 M))
#s(approx (pow (* D M) 2) #s(hole binary64 (* (pow D 2) (pow M 2))))
#s(approx (* D M) #s(hole binary64 (* D M)))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l)))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx D #s(hole binary64 D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l)))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))

Outputs
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d h)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(sqrt.f64 (/.f64 d h))
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 d) (neg.f64 h))
(/.f64 d h)
d
h
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(sqrt.f64 (/.f64 d l))
(exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 d) (neg.f64 l))
(/.f64 d l)
l
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 h l)))
(.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l)))
(/.f64 (neg.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h))) (neg.f64 l))
(/.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)
(.f64 (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h))
(.f64 (.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h)
(.f64 h (.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 D d) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))))
(pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(.f64 M (/.f64 D (.f64 #s(literal 2 binary64) d)))
(/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d)
(/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d)
(/.f64 (neg.f64 (.f64 D M)) (neg.f64 (.f64 #s(literal 2 binary64) d)))
(/.f64 (.f64 D M) (.f64 #s(literal 2 binary64) d))
(/.f64 (neg.f64 M) #s(literal -2 binary64))
(/.f64 M #s(literal 2 binary64))
M
(/.f64 (neg.f64 D) (neg.f64 d))
(/.f64 D d)
D
#s(literal 1/2 binary64)
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) d))
(.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) d)
(.f64 d (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 l h) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))
(sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 h #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 l h) #s(literal -1 binary64))
(/.f64 (pow.f64 h #s(literal -1 binary64)) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 l h)))
(/.f64 #s(literal 1 binary64) (*.f64 l h))
(exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1 binary64)))
(*.f64 l h)
(*.f64 h l)
#s(literal -1 binary64)
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(/.f64 (neg.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d))) (neg.f64 h))
(/.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
(+.f64 (/.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) h) (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) h))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (sqrt.f64 (/.f64 h l)) d))) (-.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 h l)) d)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (sqrt.f64 (/.f64 h l)) d)) (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 h l)) d)))))
(fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)))
(-.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (.f64 (neg.f64 (sqrt.f64 (/.f64 h l))) d))
(-.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l))))
(+.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 h l)) d))
(+.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64))
(.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))
(/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) d)
#s(literal -1/8 binary64)
(.f64 (.f64 D D) (/.f64 (*.f64 M M) d))
(/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (neg.f64 d))
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)
(.f64 (pow.f64 (.f64 D M) #s(literal 1 binary64)) (pow.f64 (*.f64 D M) #s(literal 1 binary64)))
(.f64 (.f64 D M) (*.f64 D M))
(.f64 (.f64 M M) (*.f64 D D))
(.f64 (.f64 D D) (*.f64 M M))
(pow.f64 (*.f64 D M) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 D M)) #s(literal 2 binary64)))
(*.f64 D M)
(*.f64 M D)
(pow.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 h l) #s(literal 3/2 binary64))
(/.f64 (sqrt.f64 (pow.f64 h #s(literal 3 binary64))) (sqrt.f64 (pow.f64 l #s(literal 3 binary64))))
(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
(.f64 (.f64 (/.f64 h l) (/.f64 h l)) (/.f64 h l))
(*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))
(.f64 (/.f64 h l) (.f64 (/.f64 h l) (/.f64 h l)))
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(/.f64 (neg.f64 (pow.f64 h #s(literal 3 binary64))) (neg.f64 (pow.f64 l #s(literal 3 binary64))))
(/.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 h l)) #s(literal 3 binary64)))
(/.f64 (neg.f64 h) (neg.f64 l))
(/.f64 h l)
#s(literal 3 binary64)
(*.f64 (sqrt.f64 (/.f64 h l)) d)
(*.f64 d (sqrt.f64 (/.f64 h l)))
(pow.f64 (/.f64 h l) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 h) (sqrt.f64 l))
(sqrt.f64 (/.f64 h l))
(.f64 #s(approx ( (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
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#s(approx (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (.f64 (neg.f64 d) (pow.f64 (.f64 l h) #s(literal -1/2 binary64))))
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#s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))
#s(approx M M)
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#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 M M)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (*.f64 M M)))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 M M)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M)))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 M M)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M)))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D D) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 d (.f64 M M)) (sqrt.f64 (/.f64 h l)))) (.f64 M M)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (*.f64 M M)))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 M M)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M)))
#s(approx D D)
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 D D)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (*.f64 D D)))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 D D)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D)))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 D D)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D)))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 h l)))) (.f64 D D)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (*.f64 D D)))
#s(approx (* (* (* (pow (/ d h) 1/4) (pow (/ d h) 1/4)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 D D)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D)))

eval45.0ms (0.4%)

Memory: -24.1MiB live, 68.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 20 086 to 1 370 computations (93.2% saved)

prune471.0ms (4.7%)

Memory

16.2MiB live, 545.2MiB allocated; 22ms collecting garbage

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	390	11	401
Fresh	8	2	10
Picked	3	2	5
Done	0	0	0
Total	401	15	416

Accuracy

94.8%

Counts

416 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.3%	(.f64 (pow.f64 (.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
	40.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
▶	42.4%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
✓	71.0%	(.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	71.0%	(.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	70.9%	(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
▶	70.0%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
	33.5%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	26.8%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (*.f64 d d))) d))
▶	73.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
▶	58.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) d)) h))
	53.6%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 h l)))) (.f64 D D))) h))
✓	27.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))
	26.2%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d))
▶	22.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))

Compiler

Compiled 1 343 to 878 computations (34.6% saved)

series143.0ms (1.4%)

Memory

16.1MiB live, 159.2MiB allocated; 4ms collecting garbage

Counts

59 → 228

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)
(fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)))
(sqrt.f64 (/.f64 h l))
(/.f64 h l)
h
l
d
(.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))
(.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))
(pow.f64 (/.f64 h l) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)
(pow.f64 (*.f64 D M) #s(literal 2 binary64))
(*.f64 D M)
D
M
#s(literal 2 binary64)
#s(literal -1/8 binary64)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
(.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d)
#s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
(neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 l h) #s(literal -1/2 binary64))
(*.f64 l h)
#s(literal -1/2 binary64)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) d)) h))
(/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) d)) h)
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) d))
(/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) d)
(fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d)))
(.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))
(*.f64 d d)
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
(.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(/.f64 M #s(literal 2 binary64))
(/.f64 D d)
#s(literal 1/2 binary64)
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(sqrt.f64 d)
(sqrt.f64 h)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))
(/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)
(.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h)

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))) d)))
#s(approx d #s(hole binary64 d))
#s(approx (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) #s(hole binary64 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))))
#s(approx (/ (pow (* D M) 2) d) #s(hole binary64 (/ (* (pow D 2) (pow M 2)) d)))
#s(approx (* (sqrt (pow (* l h) -1)) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))) d)))
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#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l))))))
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#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l))))))
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#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) #s(hole binary64 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))))
#s(approx (pow (/ h l) 3/2) #s(hole binary64 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (pow (* l h) -1)) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (sqrt (pow (* l h) -1)) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))
#s(approx (neg (pow (* l h) -1/2)) #s(hole binary64 (* -1 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
#s(approx (pow (* l h) -1/2) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (* h (pow l 3))))))))))
#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) #s(hole binary64 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3))))))
#s(approx (* (sqrt (/ h l)) (* d d)) #s(hole binary64 (* -1 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (sqrt (/ d h)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (sqrt h) #s(hole binary64 (* -1 (* (sqrt h) (pow (sqrt -1) 2)))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2))))
#s(approx l #s(hole binary64 l))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (* (pow h 3) l)))) (* (pow d 2) (sqrt (* h (pow l 3))))) (pow l 2))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (* (sqrt (/ h l)) (pow (sqrt -1) 2))))
#s(approx (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8) #s(hole binary64 (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) #s(hole binary64 (* -1 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (pow (/ h l) 3/2) #s(hole binary64 (* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (+ (* 1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3))))) (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) #s(hole binary64 (* -1 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (* (sqrt (/ h l)) (* d d)) #s(hole binary64 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (pow (* D M) 2) #s(hole binary64 (* (pow D 2) (pow M 2))))
#s(approx (* D M) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l)))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l)))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (pow D 2) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ (pow d 2) (pow M 2)) (sqrt (/ h l)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx D #s(hole binary64 D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l)))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l)))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (pow M 2) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ (pow d 2) (pow D 2)) (sqrt (/ h l)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))

Calls

15 calls:

Time	Variable		Point	Expression
15.0ms	h	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) (sqrt (/ h l)) (/ h l) h l d (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8) (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) (pow (/ h l) 3/2) 3/2 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) D M 2 -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (neg (pow (* l h) -1/2)) (pow (* l h) -1/2) (* l h) -1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (* (pow (/ h l) 3/2) (pow (* D M) 2)) (* (sqrt (/ h l)) (* d d)) (* d d) (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (sqrt (/ d h)) (/ d h) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt (/ d l)) (/ d l) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d) 1/2 (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h))
12.0ms	d	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) (sqrt (/ h l)) (/ h l) h l d (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8) (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) (pow (/ h l) 3/2) 3/2 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) D M 2 -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (neg (pow (* l h) -1/2)) (pow (* l h) -1/2) (* l h) -1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (* (pow (/ h l) 3/2) (pow (* D M) 2)) (* (sqrt (/ h l)) (* d d)) (* d d) (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (sqrt (/ d h)) (/ d h) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt (/ d l)) (/ d l) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d) 1/2 (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h))
10.0ms	l	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) (sqrt (/ h l)) (/ h l) h l d (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8) (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) (pow (/ h l) 3/2) 3/2 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) D M 2 -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (neg (pow (* l h) -1/2)) (pow (* l h) -1/2) (* l h) -1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (* (pow (/ h l) 3/2) (pow (* D M) 2)) (* (sqrt (/ h l)) (* d d)) (* d d) (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (sqrt (/ d h)) (/ d h) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt (/ d l)) (/ d l) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d) 1/2 (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h))
10.0ms	d	@	inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) (sqrt (/ h l)) (/ h l) h l d (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8) (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) (pow (/ h l) 3/2) 3/2 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) D M 2 -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (neg (pow (* l h) -1/2)) (pow (* l h) -1/2) (* l h) -1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (* (pow (/ h l) 3/2) (pow (* D M) 2)) (* (sqrt (/ h l)) (* d d)) (* d d) (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (sqrt (/ d h)) (/ d h) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt (/ d l)) (/ d l) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d) 1/2 (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h))
10.0ms	M	@	inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) (sqrt (/ h l)) (/ h l) h l d (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8) (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) (pow (/ h l) 3/2) 3/2 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) D M 2 -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (neg (pow (* l h) -1/2)) (pow (* l h) -1/2) (* l h) -1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (* (pow (/ h l) 3/2) (pow (* D M) 2)) (* (sqrt (/ h l)) (* d d)) (* d d) (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (sqrt (/ d h)) (/ d h) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt (/ d l)) (/ d l) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d) 1/2 (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h))

rewrite107.0ms (1.1%)

Memory

-5.6MiB live, 88.4MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	658	10190
0	737	9160
0	2641	9061

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

287 → 425

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)
(fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)))
(sqrt.f64 (/.f64 h l))
(/.f64 h l)
h
l
d
(.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))
(.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))
(pow.f64 (/.f64 h l) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)
(pow.f64 (*.f64 D M) #s(literal 2 binary64))
(*.f64 D M)
D
M
#s(literal 2 binary64)
#s(literal -1/8 binary64)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
(.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d)
#s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
(neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 l h) #s(literal -1/2 binary64))
(*.f64 l h)
#s(literal -1/2 binary64)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) d)) h))
(/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) d)) h)
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) d))
(/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) d)
(fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d)))
(.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))
(*.f64 d d)
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
(.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(/.f64 M #s(literal 2 binary64))
(/.f64 D d)
#s(literal 1/2 binary64)
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(sqrt.f64 d)
(sqrt.f64 h)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))
(/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)
(.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h)
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))) d)))
#s(approx d #s(hole binary64 d))
#s(approx (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) #s(hole binary64 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))))
#s(approx (/ (pow (* D M) 2) d) #s(hole binary64 (/ (* (pow D 2) (pow M 2)) d)))
#s(approx (* (sqrt (pow (* l h) -1)) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))) d)))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))) d)))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l))))))
#s(approx (* (sqrt (/ h l)) (* d d)) #s(hole binary64 (* (pow d 2) (sqrt (/ h l)))))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (/ d h) #s(hole binary64 (/ d h)))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (/ d l) #s(hole binary64 (/ d l)))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (pow (* (/ M 2) (/ D d)) 2) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (pow (* (/ M 2) (/ D d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (* (/ M 2) (/ D d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (/ D d) #s(hole binary64 (/ D d)))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (/ (sqrt d) (sqrt h)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (sqrt d) #s(hole binary64 (sqrt d)))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* d (sqrt (/ h l)))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* d (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3)))))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (sqrt (/ h l)))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3)))))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* d (sqrt (/ h l)))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* d (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3)))))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow d 2) (sqrt (/ h l)))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow d 2) (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3)))))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (sqrt (/ d l))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3))))))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 1))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 1))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (/ d h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))))
#s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (/ (sqrt d) (sqrt h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))))
#s(approx (sqrt d) #s(hole binary64 (* -1 (* (sqrt d) (pow (sqrt -1) 2)))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l))))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (sqrt (/ h l))))
#s(approx (/ h l) #s(hole binary64 (/ h l)))
#s(approx h #s(hole binary64 h))
#s(approx (pow (/ h l) 3/2) #s(hole binary64 (sqrt (/ (pow h 3) (pow l 3)))))
#s(approx (sqrt (pow (* l h) -1)) #s(hole binary64 (sqrt (/ 1 (* h l)))))
#s(approx (neg (pow (* l h) -1/2)) #s(hole binary64 (* -1 (sqrt (/ 1 (* h l))))))
#s(approx (pow (* l h) -1/2) #s(hole binary64 (sqrt (/ 1 (* h l)))))
#s(approx (* l h) #s(hole binary64 (* h l)))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l))))))
#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) #s(hole binary64 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h)))
#s(approx (sqrt h) #s(hole binary64 (sqrt h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* (pow h 2) (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (pow h 2) (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow h 2) (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* h (pow l 3)))))) (* (pow d 2) (sqrt (/ 1 (* (pow h 3) l))))))))
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#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l))))))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) #s(hole binary64 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))))
#s(approx (pow (/ h l) 3/2) #s(hole binary64 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (pow (* l h) -1)) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (sqrt (pow (* l h) -1)) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))
#s(approx (neg (pow (* l h) -1/2)) #s(hole binary64 (* -1 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))))
#s(approx (pow (* l h) -1/2) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l)))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ 1 (* h (pow l 3))))))))))
#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) #s(hole binary64 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3))))))
#s(approx (* (sqrt (/ h l)) (* d d)) #s(hole binary64 (* -1 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (sqrt (/ d h)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (sqrt (/ d l)) (/ 1 h))) (* 1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (sqrt h) #s(hole binary64 (* -1 (* (sqrt h) (pow (sqrt -1) 2)))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2))))
#s(approx l #s(hole binary64 l))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (* (pow h 3) l)))) (* (pow d 2) (sqrt (* h (pow l 3))))) (pow l 2))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (/ (+ (sqrt (* d (pow l 3))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ l (pow d 3)))))) (pow l 2))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (* (sqrt (/ h l)) (pow (sqrt -1) 2))))
#s(approx (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8) #s(hole binary64 (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) #s(hole binary64 (* -1 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (pow (/ h l) 3/2) #s(hole binary64 (* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (+ (* 1/8 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3))))) (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l))))))
#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) #s(hole binary64 (* -1 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (* (sqrt (/ h l)) (* d d)) #s(hole binary64 (* (* (pow d 2) (pow (sqrt -1) 2)) (sqrt (/ h l)))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (pow (* D M) 2) #s(hole binary64 (* (pow D 2) (pow M 2))))
#s(approx (* D M) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l)))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l)))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (pow D 2) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ (pow d 2) (pow M 2)) (sqrt (/ h l)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx D #s(hole binary64 D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l)))))))
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l)))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l)))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (pow M 2) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ (pow d 2) (pow D 2)) (sqrt (/ h l)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))

Outputs
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (/.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(/.f64 (neg.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d))) (neg.f64 h))
(/.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
(+.f64 (/.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) h) (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) h))
(+.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) h) (/.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) h))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (sqrt.f64 (/.f64 h l)) d)) (.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))) (-.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (sqrt.f64 (/.f64 h l)) d))) (-.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 (/.f64 h l)) d)))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (sqrt.f64 (/.f64 h l)) d) (-.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (sqrt.f64 (/.f64 h l)) d)) (.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 (/.f64 h l)) d)))))
(fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))
(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) (.f64 (neg.f64 (sqrt.f64 (/.f64 h l))) d))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) (.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l))))
(-.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (neg.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))) #s(literal -1/8 binary64)))
(+.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) (.f64 (sqrt.f64 (/.f64 h l)) d))
(+.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))
(pow.f64 (/.f64 h l) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 h) (sqrt.f64 l))
(sqrt.f64 (/.f64 h l))
(/.f64 (neg.f64 h) (neg.f64 l))
(/.f64 h l)
h
l
d
(.f64 (.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))
(.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)))
(.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))
(.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))
(/.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) d)
(*.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)))
(pow.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 h l) #s(literal 3/2 binary64))
(/.f64 (sqrt.f64 (pow.f64 h #s(literal 3 binary64))) (sqrt.f64 (pow.f64 l #s(literal 3 binary64))))
(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 h l)) #s(literal 3/2 binary64)))
#s(literal 3/2 binary64)
(.f64 (.f64 D D) (/.f64 (*.f64 M M) d))
(/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (neg.f64 d))
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)
(.f64 (pow.f64 (.f64 D M) #s(literal 1 binary64)) (pow.f64 (*.f64 D M) #s(literal 1 binary64)))
(.f64 (.f64 M M) (*.f64 D D))
(.f64 (.f64 D D) (*.f64 M M))
(.f64 (.f64 D M) (*.f64 D M))
(pow.f64 (*.f64 D M) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 D M)) #s(literal 2 binary64)))
(*.f64 D M)
(*.f64 M D)
D
M
#s(literal 2 binary64)
#s(literal -1/8 binary64)
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
(.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d)
(.f64 d #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
#s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))
(neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 l h) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))
(sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64)))
(*.f64 l h)
(*.f64 h l)
#s(literal -1/2 binary64)
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h))
(/.f64 (neg.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) d))) (neg.f64 h))
(/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) d)) h)
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l)))) d))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))) (.f64 (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l))) (.f64 (.f64 d d) (sqrt.f64 (/.f64 h l))))) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) (.f64 (*.f64 d d) (sqrt.f64 (/.f64 h l)))))
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#s(approx (sqrt h) (sqrt.f64 h))
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#s(approx (pow (/ h l) 3/2) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1 binary64)))
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#s(approx (neg (pow (* l h) -1/2)) (neg.f64 (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
#s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
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#s(approx l l)
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#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (/.f64 (-.f64 l (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) (.f64 d d))) l))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) d)))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) d)))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) d)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) d)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (fma.f64 (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) d)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (.f64 d (neg.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (fma.f64 d (neg.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) (.f64 d (neg.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) (fma.f64 d (neg.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l)))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))))
#s(approx (sqrt (/ h l)) (neg.f64 (sqrt.f64 (/.f64 h l))))
#s(approx (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8) (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))))
#s(approx (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) (neg.f64 (.f64 (/.f64 (.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))))
#s(approx (pow (/ h l) 3/2) (neg.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1 binary64))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) (.f64 d (neg.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) (fma.f64 d (neg.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l)))))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l)))))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (fma.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (.f64 (.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l)))))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l))))))
#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) (neg.f64 (.f64 (.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))))
#s(approx (* (sqrt (/ h l)) (* d d)) (.f64 (.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l)))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (.f64 d (neg.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (fma.f64 d (neg.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64))))
#s(approx (sqrt (/ d l)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (.f64 d (neg.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (fma.f64 d (neg.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))))
#s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (.f64 d (neg.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))))
#s(approx (sqrt (/ d l)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))
#s(approx (pow (* D M) 2) (pow.f64 (*.f64 D M) #s(literal 2 binary64)))
#s(approx (* D M) (*.f64 D M))
#s(approx M M)
#s(approx (/ M 2) (*.f64 M #s(literal 1/2 binary64)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 M M)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M)))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 M M)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M)))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D D) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 d (.f64 M M)) (sqrt.f64 (/.f64 h l)))) (.f64 M M)))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 M M)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M)))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D D) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 d (.f64 M M)) (sqrt.f64 (/.f64 h l)))) (.f64 M M)))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D D) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 d (.f64 M M)) (sqrt.f64 (/.f64 h l)))) (.f64 M M)))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 D D)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 (.f64 d d) (.f64 M M)) (sqrt.f64 (/.f64 h l)))) (*.f64 M M)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 M M)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M)))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (sqrt.f64 (pow.f64 (pow.f64 (.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (pow.f64 M #s(literal -2 binary64)) (sqrt.f64 (/.f64 d l)))) (*.f64 M M)))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (*.f64 M M)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 M M)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M)))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (*.f64 M M)))
#s(approx D D)
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 D D)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D)))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 D D)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D)))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 h l)))) (.f64 D D)))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (pow (/ h l) 3/2) (/ (pow (* D M) 2) d)) -1/8)) h) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 D D)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D)))
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 h l)))) (.f64 D D)))
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 h l)))) (.f64 D D)))
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 M M)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.f64 D D)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 D D)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D)))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (sqrt.f64 (pow.f64 (pow.f64 (.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (pow.f64 D #s(literal -2 binary64)) (sqrt.f64 (/.f64 d l)))) (*.f64 D D)))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (*.f64 D D)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 D D)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D)))
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (*.f64 D D)))

eval54.0ms (0.5%)

Memory: -32.3MiB live, 64.7MiB allocated; 8ms collecting garbage
Compiler: Compiled 27 535 to 1 944 computations (92.9% saved)

prune799.0ms (7.9%)

Memory

-1.1MiB live, 826.6MiB allocated; 31ms collecting garbage

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	459	4	463
Fresh	4	4	8
Picked	2	3	5
Done	1	1	2
Total	466	12	478

Accuracy

96.3%

Counts

478 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.3%	(.f64 (pow.f64 (.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
	40.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
✓	42.4%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
▶	71.0%	(.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	71.1%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
▶	15.1%	(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))))
	33.5%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
✓	73.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
▶	73.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
✓	58.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) d)) h))
✓	27.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))
▶	21.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))))) d))

Compiler

Compiled 911 to 612 computations (32.8% saved)

series413.0ms (4.1%)

Memory

8.0MiB live, 381.8MiB allocated; 30ms collecting garbage

Counts

76 → 246

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)
(fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)))
(sqrt.f64 (/.f64 h l))
(/.f64 h l)
h
l
d
(.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))
(.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d))
(*.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)))
(pow.f64 (/.f64 h l) #s(literal 3/4 binary64))
#s(literal 3/4 binary64)
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)
(pow.f64 (*.f64 D M) #s(literal 2 binary64))
(*.f64 D M)
D
M
#s(literal 2 binary64)
#s(literal -1/8 binary64)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))))) d))
(.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))))) d)
#s(approx (sqrt (pow (* l h) -1)) (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64)))))
(neg.f64 (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64)))
(.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))
(log.f64 (*.f64 l h))
(*.f64 l h)
#s(literal -1/2 binary64)
(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64))))
(fma.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) h))
(*.f64 #s(literal -1 binary64) h)
#s(literal -1 binary64)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 l d) #s(literal 3 binary64))
(*.f64 l d)
#s(literal 3 binary64)
(*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
(.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/8 binary64))))
(pow.f64 (/.f64 d h) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)))
(pow.f64 (/.f64 d h) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d))
(*.f64 M D)
(*.f64 #s(literal 2 binary64) d)
(.f64 (pow.f64 (.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64))
(*.f64 (/.f64 d h) (/.f64 d l))
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))
(/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)
(.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h)
(.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(/.f64 M #s(literal 2 binary64))
(/.f64 D d)

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))) d)))
#s(approx d #s(hole binary64 d))
#s(approx (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))))
#s(approx (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) #s(hole binary64 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))))
#s(approx (/ (pow (* D M) 2) d) #s(hole binary64 (/ (* (pow D 2) (pow M 2)) d)))
#s(approx (* (sqrt (pow (* l h) -1)) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (/ d h) #s(hole binary64 (/ d h)))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))))
#s(approx (+ (* (* (* (pow (* D M) 2) (* -1 h)) (sqrt (pow (pow (* l d) 3) -1))) -1/8) (* (sqrt (/ d l)) -1)) #s(hole binary64 (* 1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))
#s(approx (+ (* (* (* (pow (* D M) 2) (* -1 h)) (sqrt (pow (pow (* l d) 3) -1))) -1/8) (* (sqrt (/ d l)) -1)) #s(hole binary64 (/ (+ (* -1 (sqrt (/ (pow d 5) l))) (* 1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2))))
#s(approx (* (* (pow (* D M) 2) (* -1 h)) (sqrt (pow (pow (* l d) 3) -1))) #s(hole binary64 (* -1 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))
#s(approx (sqrt (pow (pow (* l d) 3) -1)) #s(hole binary64 (sqrt (/ 1 (* (pow d 3) (pow l 3))))))
#s(approx (pow (pow (* l d) 3) -1) #s(hole binary64 (/ 1 (* (pow d 3) (pow l 3)))))
#s(approx (pow (* l d) 3) #s(hole binary64 (* (pow d 3) (pow l 3))))
#s(approx (* l d) #s(hole binary64 (* d l)))
#s(approx (* (sqrt (/ d l)) -1) #s(hole binary64 (* -1 (sqrt (/ d l)))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (/ d l) #s(hole binary64 (/ d l)))
#s(approx (* (* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) #s(hole binary64 (sqrt (/ d h))))
#s(approx (pow (/ d h) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log d) (log (/ 1 h)))))))
#s(approx (* (pow (/ d h) 1/8) (pow (/ d h) 1/8)) #s(hole binary64 (exp (* 1/4 (+ (log d) (log (/ 1 h)))))))
#s(approx (pow (/ d h) 1/8) #s(hole binary64 (exp (* 1/8 (+ (log d) (log (/ 1 h)))))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (* 2 d) #s(hole binary64 (* 2 d)))
#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (pow (* (/ d h) (/ d l)) 1/2) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (/ d h) (/ d l)) #s(hole binary64 (/ (pow d 2) (* h l))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))))
#s(approx (* (pow (* (/ M 2) (/ D d)) 2) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (pow (* (/ M 2) (/ D d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (* (/ M 2) (/ D d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (/ D d) #s(hole binary64 (/ D d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* d (sqrt (/ h l)))))
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#s(approx (* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))
#s(approx (pow (/ d h) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log (* -1 d)) (log (/ -1 h)))))))
#s(approx (* (pow (/ d h) 1/8) (pow (/ d h) 1/8)) #s(hole binary64 (exp (* 1/4 (+ (log (* -1 d)) (log (/ -1 h)))))))
#s(approx (pow (/ d h) 1/8) #s(hole binary64 (exp (* 1/8 (+ (log (* -1 d)) (log (/ -1 h)))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))))
#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))))
#s(approx (pow (* (/ d h) (/ d l)) 1/2) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
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#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l)))))))
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#s(approx (log (* l h)) #s(hole binary64 (+ (log (* -1 h)) (* -1 (log (/ -1 l))))))
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#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
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#s(approx (pow (* D M) 2) #s(hole binary64 (* (pow D 2) (pow M 2))))
#s(approx (* D M) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M)))
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#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
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#s(approx D #s(hole binary64 D))
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Calls

15 calls:

Time	Variable		Point	Expression
94.0ms	h	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) (sqrt (/ h l)) (/ h l) h l d (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8) (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (pow (/ h l) 3/4) 3/4 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) D M 2 -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (neg (exp (* (log (* l h)) -1/2))) (exp (* (log (* l h)) -1/2)) (* (log (* l h)) -1/2) (log (* l h)) (* l h) -1/2 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (sqrt (/ d h)) (/ d h) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (+ (* (* (* (pow (* D M) 2) (* -1 h)) (sqrt (pow (pow (* l d) 3) -1))) -1/8) (* (sqrt (/ d l)) -1)) (* (* (pow (* D M) 2) (* -1 h)) (sqrt (pow (pow (* l d) 3) -1))) (* (pow (* D M) 2) (* -1 h)) (* -1 h) -1 (sqrt (pow (pow (* l d) 3) -1)) (pow (pow (* l d) 3) -1) (pow (* l d) 3) (* l d) 3 (* (sqrt (/ d l)) -1) (sqrt (/ d l)) (/ d l) (* (* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d l) (/ 1 2))) (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d h) 1/4) 1/4 (* (pow (/ d h) 1/8) (pow (/ d h) 1/8)) (pow (/ d h) 1/8) 1/8 (pow (/ d l) (/ 1 2)) (/ 1 2) 1 (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (pow (* (/ d h) (/ d l)) 1/2) (* (/ d h) (/ d l)) 1/2 (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d))
51.0ms	h	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) (sqrt (/ h l)) (/ h l) h l d (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8) (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (pow (/ h l) 3/4) 3/4 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) D M 2 -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (neg (exp (* (log (* l h)) -1/2))) (exp (* (log (* l h)) -1/2)) (* (log (* l h)) -1/2) (log (* l h)) (* l h) -1/2 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (sqrt (/ d h)) (/ d h) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (+ (* (* (* (pow (* D M) 2) (* -1 h)) (sqrt (pow (pow (* l d) 3) -1))) -1/8) (* (sqrt (/ d l)) -1)) (* (* (pow (* D M) 2) (* -1 h)) (sqrt (pow (pow (* l d) 3) -1))) (* (pow (* D M) 2) (* -1 h)) (* -1 h) -1 (sqrt (pow (pow (* l d) 3) -1)) (pow (pow (* l d) 3) -1) (pow (* l d) 3) (* l d) 3 (* (sqrt (/ d l)) -1) (sqrt (/ d l)) (/ d l) (* (* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d l) (/ 1 2))) (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d h) 1/4) 1/4 (* (pow (/ d h) 1/8) (pow (/ d h) 1/8)) (pow (/ d h) 1/8) 1/8 (pow (/ d l) (/ 1 2)) (/ 1 2) 1 (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (pow (* (/ d h) (/ d l)) 1/2) (* (/ d h) (/ d l)) 1/2 (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d))
40.0ms	l	@	-inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) (sqrt (/ h l)) (/ h l) h l d (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8) (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (pow (/ h l) 3/4) 3/4 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) D M 2 -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (neg (exp (* (log (* l h)) -1/2))) (exp (* (log (* l h)) -1/2)) (* (log (* l h)) -1/2) (log (* l h)) (* l h) -1/2 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (sqrt (/ d h)) (/ d h) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (+ (* (* (* (pow (* D M) 2) (* -1 h)) (sqrt (pow (pow (* l d) 3) -1))) -1/8) (* (sqrt (/ d l)) -1)) (* (* (pow (* D M) 2) (* -1 h)) (sqrt (pow (pow (* l d) 3) -1))) (* (pow (* D M) 2) (* -1 h)) (* -1 h) -1 (sqrt (pow (pow (* l d) 3) -1)) (pow (pow (* l d) 3) -1) (pow (* l d) 3) (* l d) 3 (* (sqrt (/ d l)) -1) (sqrt (/ d l)) (/ d l) (* (* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d l) (/ 1 2))) (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d h) 1/4) 1/4 (* (pow (/ d h) 1/8) (pow (/ d h) 1/8)) (pow (/ d h) 1/8) 1/8 (pow (/ d l) (/ 1 2)) (/ 1 2) 1 (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (pow (* (/ d h) (/ d l)) 1/2) (* (/ d h) (/ d l)) 1/2 (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d))
35.0ms	l	@	0	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) (sqrt (/ h l)) (/ h l) h l d (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8) (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (pow (/ h l) 3/4) 3/4 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) D M 2 -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (neg (exp (* (log (* l h)) -1/2))) (exp (* (log (* l h)) -1/2)) (* (log (* l h)) -1/2) (log (* l h)) (* l h) -1/2 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (sqrt (/ d h)) (/ d h) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (+ (* (* (* (pow (* D M) 2) (* -1 h)) (sqrt (pow (pow (* l d) 3) -1))) -1/8) (* (sqrt (/ d l)) -1)) (* (* (pow (* D M) 2) (* -1 h)) (sqrt (pow (pow (* l d) 3) -1))) (* (pow (* D M) 2) (* -1 h)) (* -1 h) -1 (sqrt (pow (pow (* l d) 3) -1)) (pow (pow (* l d) 3) -1) (pow (* l d) 3) (* l d) 3 (* (sqrt (/ d l)) -1) (sqrt (/ d l)) (/ d l) (* (* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d l) (/ 1 2))) (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d h) 1/4) 1/4 (* (pow (/ d h) 1/8) (pow (/ d h) 1/8)) (pow (/ d h) 1/8) 1/8 (pow (/ d l) (/ 1 2)) (/ 1 2) 1 (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (pow (* (/ d h) (/ d l)) 1/2) (* (/ d h) (/ d l)) 1/2 (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d))
33.0ms	l	@	inf	((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) (sqrt (/ h l)) (/ h l) h l d (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8) (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (pow (/ h l) 3/4) 3/4 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) D M 2 -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (neg (exp (* (log (* l h)) -1/2))) (exp (* (log (* l h)) -1/2)) (* (log (* l h)) -1/2) (log (* l h)) (* l h) -1/2 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (sqrt (/ d h)) (/ d h) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (+ (* (* (* (pow (* D M) 2) (* -1 h)) (sqrt (pow (pow (* l d) 3) -1))) -1/8) (* (sqrt (/ d l)) -1)) (* (* (pow (* D M) 2) (* -1 h)) (sqrt (pow (pow (* l d) 3) -1))) (* (pow (* D M) 2) (* -1 h)) (* -1 h) -1 (sqrt (pow (pow (* l d) 3) -1)) (pow (pow (* l d) 3) -1) (pow (* l d) 3) (* l d) 3 (* (sqrt (/ d l)) -1) (sqrt (/ d l)) (/ d l) (* (* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d l) (/ 1 2))) (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d h) 1/4) 1/4 (* (pow (/ d h) 1/8) (pow (/ d h) 1/8)) (pow (/ d h) 1/8) 1/8 (pow (/ d l) (/ 1 2)) (/ 1 2) 1 (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (pow (* (/ d h) (/ d l)) 1/2) (* (/ d h) (/ d l)) 1/2 (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d))

rewrite130.0ms (1.3%)

Memory

11.4MiB live, 106.6MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	778	10425
0	885	8704
0	3307	8606

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

322 → 520

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)
(fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)))
(sqrt.f64 (/.f64 h l))
(/.f64 h l)
h
l
d
(.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))
(.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d))
(*.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)))
(pow.f64 (/.f64 h l) #s(literal 3/4 binary64))
#s(literal 3/4 binary64)
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)
(pow.f64 (*.f64 D M) #s(literal 2 binary64))
(*.f64 D M)
D
M
#s(literal 2 binary64)
#s(literal -1/8 binary64)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))))) d))
(.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))))) d)
#s(approx (sqrt (pow (* l h) -1)) (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64)))))
(neg.f64 (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64)))
(.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))
(log.f64 (*.f64 l h))
(*.f64 l h)
#s(literal -1/2 binary64)
(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64))))
(fma.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) h))
(*.f64 #s(literal -1 binary64) h)
#s(literal -1 binary64)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 l d) #s(literal 3 binary64))
(*.f64 l d)
#s(literal 3 binary64)
(*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64))
(sqrt.f64 (/.f64 d l))
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#s(approx (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) #s(hole binary64 (* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))))
#s(approx (pow (/ h l) 3/4) #s(hole binary64 (exp (* 1/4 (+ (log (* -1 (pow h 3))) (* 3 (log (/ -1 l))))))))
#s(approx (* (log (* l h)) -1/2) #s(hole binary64 (* -1/2 (+ (log (* -1 h)) (* -1 (log (/ -1 l)))))))
#s(approx (log (* l h)) #s(hole binary64 (+ (log (* -1 h)) (* -1 (log (/ -1 l))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* (* (pow (* D M) 2) (* -1 h)) (sqrt (pow (pow (* l d) 3) -1))) -1/8) (* (sqrt (/ d l)) -1)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* (* (pow (* D M) 2) (* -1 h)) (sqrt (pow (pow (* l d) 3) -1))) -1/8) (* (sqrt (/ d l)) -1)) #s(hole binary64 (+ (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))))))
#s(approx (* (sqrt (/ d l)) -1) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* (* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))
#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))
#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))))
#s(approx (pow (* D M) 2) #s(hole binary64 (* (pow D 2) (pow M 2))))
#s(approx (* D M) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l)))))))
#s(approx (+ (* (* (* (pow (* D M) 2) (* -1 h)) (sqrt (pow (pow (* l d) 3) -1))) -1/8) (* (sqrt (/ d l)) -1)) #s(hole binary64 (* (pow M 2) (+ (* -1 (* (/ 1 (pow M 2)) (sqrt (/ d l)))) (* 1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx D #s(hole binary64 D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l)))))))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow D 2)) (sqrt (/ d l)))))))
#s(approx (+ (* (* (* (pow (* D M) 2) (* -1 h)) (sqrt (pow (pow (* l d) 3) -1))) -1/8) (* (sqrt (/ d l)) -1)) #s(hole binary64 (* (pow D 2) (+ (* -1 (* (/ 1 (pow D 2)) (sqrt (/ d l)))) (* 1/8 (* (* (pow M 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))))))
#s(approx (* (* (* (pow (/ d h) 1/4) (* (pow (/ d h) 1/8) (pow (/ d h) 1/8))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l))))))))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))

Outputs
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
(/.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) d))) (neg.f64 h))
(/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)
(+.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) h) (/.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) h))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (sqrt.f64 (/.f64 h l)) d)) (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)))) (-.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (sqrt.f64 (/.f64 h l)) d) (-.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))))))
(fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d))
(fma.f64 d (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)))
(-.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (neg.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))) #s(literal -1/8 binary64)))
(+.f64 (.f64 (sqrt.f64 (/.f64 h l)) d) (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 h l)) d))
(pow.f64 (/.f64 h l) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 h) (sqrt.f64 l))
(sqrt.f64 (/.f64 h l))
(/.f64 (neg.f64 h) (neg.f64 l))
(/.f64 h l)
h
l
d
(.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))
(.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)))
(.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)))
(.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d))
(.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)))
(.f64 (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)))
(/.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) d)
(*.f64 (neg.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (neg.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (fabs.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)))
(pow.f64 (*.f64 (/.f64 h l) (/.f64 h l)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 h l) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)))
(pow.f64 (/.f64 h l) #s(literal 3/4 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 h l)) #s(literal 3/4 binary64)))
#s(literal 3/4 binary64)
(.f64 (.f64 D D) (/.f64 (*.f64 M M) d))
(/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (neg.f64 d))
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)
(.f64 (pow.f64 (.f64 D M) #s(literal 1 binary64)) (pow.f64 (*.f64 D M) #s(literal 1 binary64)))
(.f64 (.f64 D M) (*.f64 D M))
(.f64 (.f64 M M) (*.f64 D D))
(.f64 (.f64 D D) (*.f64 M M))
(pow.f64 (*.f64 D M) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 D M)) #s(literal 2 binary64)))
(*.f64 D M)
(*.f64 M D)
D
M
#s(literal 2 binary64)
#s(literal -1/8 binary64)
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (.f64 #s(approx (exp ( (log (* l h)) -1/2)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
(.f64 #s(approx (exp ( (log (* l h)) -1/2)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d)
(.f64 d #s(approx (exp ( (log (* l h)) -1/2)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))
#s(approx (exp (* (log (* l h)) -1/2)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))
(neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (*.f64 l h))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 l h) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))
(sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))))
(.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (log.f64 (.f64 l h)))
(fma.f64 (log.f64 h) #s(literal -1/2 binary64) (*.f64 (log.f64 l) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (log.f64 h) (*.f64 #s(literal -1/2 binary64) (log.f64 l)))
(+.f64 (.f64 (log.f64 h) #s(literal -1/2 binary64)) (.f64 (log.f64 l) #s(literal -1/2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (log.f64 h)) (.f64 #s(literal -1/2 binary64) (log.f64 l)))
(/.f64 (-.f64 (.f64 (log.f64 h) (log.f64 h)) (.f64 (log.f64 l) (log.f64 l))) (-.f64 (log.f64 h) (log.f64 l)))
(/.f64 (+.f64 (pow.f64 (log.f64 h) #s(literal 3 binary64)) (pow.f64 (log.f64 l) #s(literal 3 binary64))) (fma.f64 (log.f64 h) (log.f64 h) (-.f64 (.f64 (log.f64 l) (log.f64 l)) (.f64 (log.f64 h) (log.f64 l)))))
(+.f64 (log.f64 l) (log.f64 h))
(+.f64 (log.f64 h) (log.f64 l))
(log.f64 (*.f64 l h))
(*.f64 l h)
(*.f64 h l)
#s(literal -1/2 binary64)
(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 l d) #s(literal -3 binary64))) (.f64 (neg.f64 h) (pow.f64 (.f64 D M) #s(literal 2 binary64)))) #s(literal -1/8 binary64) (neg.f64 (sqrt.f64 (/.f64 d l))))))
(.f64 #s(approx ( (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 l d) #s(literal -3 binary64))) (.f64 (neg.f64 h) (pow.f64 (.f64 D M) #s(literal 2 binary64)))) #s(literal -1/8 binary64) (neg.f64 (sqrt.f64 (/.f64 d l))))) (sqrt.f64 (/.f64 d h)))
(.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/8 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
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#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (.f64 (neg.f64 d) (pow.f64 (.f64 l h) #s(literal -1/2 binary64))))
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#s(approx (* (sqrt (/ d l)) -1) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 d l)))))
#s(approx (sqrt (/ d l)) (neg.f64 (sqrt.f64 (/.f64 d l))))
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#s(approx (sqrt (/ d l)) (neg.f64 (sqrt.f64 (/.f64 d l))))
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#s(approx (pow (* D M) 2) (pow.f64 (*.f64 D M) #s(literal 2 binary64)))
#s(approx (* D M) (*.f64 D M))
#s(approx M M)
#s(approx (* D M) (*.f64 D M))
#s(approx (/ M 2) (*.f64 M #s(literal 1/2 binary64)))
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#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 D D) h)) (sqrt.f64 (pow.f64 (.f64 l d) #s(literal -3 binary64))) (.f64 (pow.f64 M #s(literal -2 binary64)) (sqrt.f64 (/.f64 d l)))) (*.f64 M M)))
#s(approx (+ (* (* (* (pow (* D M) 2) (* -1 h)) (sqrt (pow (pow (* l d) 3) -1))) -1/8) (* (sqrt (/ d l)) -1)) (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 D D) h)) (sqrt.f64 (pow.f64 (.f64 l d) #s(literal -3 binary64))) (neg.f64 (.f64 (pow.f64 M #s(literal -2 binary64)) (sqrt.f64 (/.f64 d l))))) (*.f64 M M)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 M M)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M)))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (*.f64 M M)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 M M)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M)))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 D D) h)) (.f64 (.f64 d d) l))) (*.f64 M M)))
#s(approx D D)
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 D D)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D)))
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) h) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 D D)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D)))
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (* (pow (/ h l) 3/4) (pow (/ h l) 3/4)) (/ (pow (* D M) 2) d)) -1/8)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 h l)))) (.f64 D D)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 D D)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D)))
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 M M) h)) (sqrt.f64 (pow.f64 (.f64 l d) #s(literal -3 binary64))) (.f64 (pow.f64 D #s(literal -2 binary64)) (sqrt.f64 (/.f64 d l)))) (*.f64 D D)))
#s(approx (+ (* (* (* (pow (* D M) 2) (* -1 h)) (sqrt (pow (pow (* l d) 3) -1))) -1/8) (* (sqrt (/ d l)) -1)) (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 M M) h)) (sqrt.f64 (pow.f64 (.f64 l d) #s(literal -3 binary64))) (neg.f64 (.f64 (pow.f64 D #s(literal -2 binary64)) (sqrt.f64 (/.f64 d l))))) (*.f64 D D)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 D D)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D)))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (*.f64 D D)))
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (/.f64 d (.f64 D D)) (pow.f64 (.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D)))
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 M M) h)) (.f64 (.f64 d d) l))) (*.f64 D D)))

eval62.0ms (0.6%)

Memory: -14.0MiB live, 78.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 29 510 to 2 247 computations (92.4% saved)

prune584.0ms (5.8%)

Memory

15.1MiB live, 689.4MiB allocated; 23ms collecting garbage

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	522	3	525
Fresh	0	3	3
Picked	2	3	5
Done	0	4	4
Total	524	13	537

Accuracy

96.7%

Counts

537 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.3%	(.f64 (pow.f64 (.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
	40.7%	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
	15.1%	(.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))))
✓	42.4%	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
✓	71.0%	(.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
	71.1%	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
	45.3%	(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 l d) #s(literal -3 binary64))) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 d l)))))
	33.5%	(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
✓	73.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
	73.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
✓	58.0%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) d)) h))
✓	27.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))
✓	21.3%	#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))))) d))

Compiler

Compiled 2 251 to 676 computations (70% saved)

regimes66.0ms (0.7%)

Memory

-4.5MiB live, 90.4MiB allocated; 2ms collecting garbage

Counts

34 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 h l)))) (.f64 D D))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (*.f64 d d))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 l d) #s(literal -3 binary64))) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 d l)))))
(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
(.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
(.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) (.f64 d d))) l)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
(.f64 (pow.f64 (.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (pow.f64 (.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))

Outputs

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))

(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))

Calls

7 calls:

10.0ms	M
9.0ms	l
9.0ms	D
9.0ms	d
9.0ms	h

Results

Accuracy	Segments	Branch
79.3%	3	`(*.f64 M D)`
81.1%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
85.8%	3	`d`
85.9%	6	`h`
81.0%	3	`l`
76.5%	2	`M`
78.5%	3	`D`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes10.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Counts

31 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 h l)))) (.f64 D D))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (*.f64 d d))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 l d) #s(literal -3 binary64))) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 d l)))))
(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
(.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
(.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) #s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) (.f64 d d))) l)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Outputs

(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))

(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
85.1%	3	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes9.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

25 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 h l)))) (.f64 D D))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (*.f64 d d))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 l d) #s(literal -3 binary64))) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 d l)))))
(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
(.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Outputs

(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))

(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
83.4%	3	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes15.0ms (0.1%)

Memory

-29.3MiB live, 18.2MiB allocated; 1ms collecting garbage

Counts

24 → 2

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 h l)))) (.f64 D D))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (*.f64 d d))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 l d) #s(literal -3 binary64))) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 d l)))))
(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))
(.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Outputs

(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))

Calls

2 calls:

7.0ms

6.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
81.1%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
82.5%	4	`d`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes6.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 h l)))) (.f64 D D))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (*.f64 d d))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 l d) #s(literal -3 binary64))) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 d l)))))
(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))

Outputs

(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))

Calls

1 calls:

5.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))

Results

Accuracy	Segments	Branch
79.9%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes40.0ms (0.4%)

Memory

-4.7MiB live, 47.2MiB allocated; 2ms collecting garbage

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 h l)))) (.f64 D D))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) (*.f64 d d))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 #s(approx ( (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (.f64 (pow.f64 (.f64 l h) #s(literal -1/2 binary64)) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 l d) #s(literal -3 binary64))) (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) h)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 d l)))))
(.f64 (sqrt.f64 (/.f64 d h)) #s(approx ( (sqrt (/ d l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) h)) (sqrt.f64 (pow.f64 (pow.f64 (.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d))

Calls

7 calls:

7.0ms	d
5.0ms	l
5.0ms	M
5.0ms	D
5.0ms	h

Results

Accuracy	Segments	Branch
73.3%	1	`M`
73.3%	1	`D`
73.3%	1	`(*.f64 M D)`
75.2%	2	`d`
76.5%	3	`l`
73.3%	1	`h`
73.3%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes4.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 h l)))) (.f64 D D))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
75.2%	2	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes22.0ms (0.2%)

Memory

-18.3MiB live, 29.4MiB allocated; 0ms collecting garbage

Counts

8 → 3

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 h l)))) (.f64 D D))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) d)) h))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.f64 D D))) h))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 d d))) d)) h))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d))

Calls

7 calls:

4.0ms	M
3.0ms	h
3.0ms	D
3.0ms	d
3.0ms	l

Results

Accuracy	Segments	Branch
59.9%	2	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
60.2%	2	`h`
65.0%	2	`M`
65.3%	3	`(*.f64 M D)`
67.2%	4	`D`
59.7%	2	`l`
68.2%	3	`d`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes19.0ms (0.2%)

Memory

28.3MiB live, 28.3MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 h l)))) (.f64 D D))) h))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.f64 D D))) h))

Calls

7 calls:

3.0ms	D
3.0ms	d
3.0ms	M
3.0ms	h
3.0ms	l

Results

Accuracy	Segments	Branch
55.9%	2	`l`
53.6%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
53.6%	1	`h`
57.1%	2	`(*.f64 M D)`
57.9%	2	`D`
59.1%	2	`M`
59.0%	2	`d`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes18.0ms (0.2%)

Memory

-21.4MiB live, 26.3MiB allocated; 1ms collecting garbage

Counts

6 → 4

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))

Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h))

Calls

7 calls:

3.0ms	D
2.0ms	M
2.0ms	h
2.0ms	d
2.0ms	l

Results

Accuracy	Segments	Branch
42.3%	3	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
49.2%	4	`h`
40.9%	2	`l`
41.7%	3	`(*.f64 M D)`
39.1%	2	`D`
46.1%	3	`d`
38.0%	2	`M`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes5.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (exp.f64 (.f64 (log.f64 (.f64 l h)) #s(literal -1/2 binary64))))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 #s(approx (sqrt (pow ( l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (exp.f64 (.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d))

Calls

2 calls:

2.0ms	h
2.0ms	d

Results

Accuracy	Segments	Branch
42.1%	2	`d`
40.9%	2	`h`

Compiler

Compiled 2 to 10 computations (-400% saved)

regimes2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))))) d))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
40.9%	2	`d`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes10.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))))) d))

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d))

Calls

7 calls:

1.0ms	l
1.0ms	d
1.0ms	D
1.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
1.0ms	M

Results

Accuracy	Segments	Branch
22.3%	1	`M`
22.3%	1	`D`
22.3%	1	`(*.f64 M D)`
22.3%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
22.3%	1	`h`
22.3%	1	`l`
22.3%	1	`d`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

regimes8.0ms (0.1%)

Memory

-32.0MiB live, 15.7MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))))) d))

Outputs

#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))))) d))

Calls

7 calls:

1.0ms	D
1.0ms	l
1.0ms	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
1.0ms	h
1.0ms	M

Results

Accuracy	Segments	Branch
21.3%	1	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))`
21.3%	1	`d`
21.3%	1	`l`
21.3%	1	`M`
21.3%	1	`(*.f64 M D)`
21.3%	1	`D`
21.3%	1	`h`

Compiler

Compiled 43 to 53 computations (-23.3% saved)

bsearch97.0ms (1%)

Memory

8.9MiB live, 104.3MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	3.6362619149421765e-161	1.4761290032464665e-156
43.0ms	-1.6140681637657246e-33	-4.2014298496173236e-38

Samples

40.0ms	256×	0	valid
28.0ms	228×	0	invalid

Compiler

Compiled 1 590 to 1 030 computations (35.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 16.0ms (32% of total)

ival-mult: 16.0ms (32% of total)

ival-pow: 10.0ms (20% of total)

ival-pow2: 5.0ms (10% of total)

ival-sub: 2.0ms (4% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch70.0ms (0.7%)

Memory

19.1MiB live, 65.9MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	3.6362619149421765e-161	1.4761290032464665e-156
60.0ms	-1.0580062359093396e-20	-3.759242533217045e-31

Samples

27.0ms	160×	0	valid
21.0ms	176×	0	invalid

Compiler

Compiled 1 786 to 1 174 computations (34.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 11.0ms (29.9% of total)

ival-mult: 11.0ms (29.9% of total)

ival-pow: 9.0ms (24.5% of total)

ival-pow2: 3.0ms (8.2% of total)

ival-sub: 2.0ms (5.4% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Memory

-20.0MiB live, 27.3MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	3.6362619149421765e-161	1.4761290032464665e-156
2.0ms	-1.0580062359093396e-20	-3.759242533217045e-31

Samples

14.0ms	80×	0	valid
7.0ms	56×	0	invalid

Compiler

Compiled 1 802 to 1 166 computations (35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-pow: 5.0ms (31.8% of total)

ival-div: 4.0ms (25.5% of total)

ival-mult: 4.0ms (25.5% of total)

ival-sub: 1.0ms (6.4% of total)

ival-pow2: 1.0ms (6.4% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.903784837179181e+206	1.6824850008770485e+234

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.903784837179181e+206	1.6824850008770485e+234

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch46.0ms (0.5%)

Memory

-10.0MiB live, 40.6MiB allocated; 1ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	1.679508154195853e+241	4.112893901255256e+243

Samples

17.0ms	112×	0	valid
15.0ms	122×	0	invalid

Compiler

Compiled 759 to 492 computations (35.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 8.0ms (34.3% of total)

ival-mult: 7.0ms (30% of total)

ival-pow: 4.0ms (17.1% of total)

ival-pow2: 2.0ms (8.6% of total)

ival-sub: 1.0ms (4.3% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.679508154195853e+241	4.112893901255256e+243

Compiler

Compiled 843 to 520 computations (38.3% saved)

bsearch106.0ms (1%)

Memory

-1.4MiB live, 92.4MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
55.0ms	8.337799617800047e+148	6.540681672719734e+155
38.0ms	-1.3992301204455435e+141	-4.744031762534762e+139

Samples

39.0ms	256×	0	valid
35.0ms	280×	0	invalid

Compiler

Compiled 2 417 to 1 464 computations (39.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 18.0ms (32.6% of total)

ival-mult: 17.0ms (30.7% of total)

ival-pow: 10.0ms (18.1% of total)

ival-pow2: 7.0ms (12.7% of total)

ival-sub: 3.0ms (5.4% of total)

exact: 1.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.6839542320286076e-162	1.6890143564118618e-162

Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch146.0ms (1.4%)

Memory

33.8MiB live, 131.4MiB allocated; 5ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
44.0ms	1.155821531903957e-39	2.5867143478230513e-37
48.0ms	1.3572680617650296e-296	1.0243497381512726e-293
39.0ms	-9.239361657383401e-31	-1.7341187641642017e-31

Samples

54.0ms	368×	0	invalid
50.0ms	336×	0	valid

Compiler

Compiled 2 200 to 1 444 computations (34.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-div: 23.0ms (29.7% of total)

ival-mult: 22.0ms (28.4% of total)

ival-pow: 20.0ms (25.8% of total)

ival-pow2: 7.0ms (9% of total)

ival-sub: 3.0ms (3.9% of total)

ival-true: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch58.0ms (0.6%)

Memory

-42.5MiB live, 51.3MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
50.0ms	1.023772412667052e-173	6.717505724119509e-169

Samples

24.0ms	144×	0	valid
16.0ms	133×	0	invalid

Compiler

Compiled 893 to 597 computations (33.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 9.0ms (29.4% of total)

ival-mult: 9.0ms (29.4% of total)

ival-pow: 8.0ms (26.1% of total)

ival-pow2: 3.0ms (9.8% of total)

ival-sub: 1.0ms (3.3% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.023772412667052e-173	6.717505724119509e-169

Compiler

Compiled 911 to 615 computations (32.5% saved)

simplify77.0ms (0.8%)

Memory

27.8MiB live, 75.4MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	1619
1	292	1619
2	537	1619
3	2126	1619
4	6561	1619

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 d #s(literal -1724057483474125/23945242826029513411849172299223580994042798784118784 binary64)) (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))) (if (<=.f64 d #s(literal 6727386920068443/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))))
(if (<=.f64 d #s(literal -2169416492913059/5708990770823839524233143877797980545530986496 binary64)) (.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))) (if (<=.f64 d #s(literal 6727386920068443/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)))))
(if (<=.f64 d #s(literal -2169416492913059/5708990770823839524233143877797980545530986496 binary64)) (.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))) (if (<=.f64 d #s(literal 6925251241246927/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) (.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))))
(if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 1000000000000000038893577551088388431307372492952020133343023820076912942893848967630799656078777013873264603119412132913531706114094375616540183672212689403544345862626169435445664558076559462193222406635520 binary64)) (.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 (/.f64 (.f64 D M) #s(literal 2 binary64)) d) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)))
(if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 M D) (.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 1000000000000000038893577551088388431307372492952020133343023820076912942893848967630799656078777013873264603119412132913531706114094375616540183672212689403544345862626169435445664558076559462193222406635520 binary64)) (.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)))
(if (<=.f64 d #s(literal 339999999999999981792430922460958315784173553117868067656415102188273268856107196150888538994339339892242544649248241793807714432389695141273635875704629534577929116243101036729553914178870249754529010537898911935701578229286292098699904417792 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d)))
(if (<=.f64 d #s(literal 339999999999999981792430922460958315784173553117868067656415102188273268856107196150888538994339339892242544649248241793807714432389695141273635875704629534577929116243101036729553914178870249754529010537898911935701578229286292098699904417792 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (.f64 (.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (.f64 (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/8 binary64)))) (/.f64 (pow.f64 (.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) #s(approx ( (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d)))
(if (<=.f64 d #s(literal -679999999999999964159337239117473025942621438240684448048761028999200667642081852822211265831456208008435144558394189605454315429208283676672 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 h l)))) (.f64 D D))) h)) (if (<=.f64 d #s(literal 619999999999999973581295140999034435168858250938706964643694968549180863936476737832519164274098647693054263089757812157901127920025651777212659007488 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 h l)) (.f64 d d))) d)) h)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d))))
(if (<=.f64 M #s(literal 853507535835507/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (.f64 (sqrt.f64 (pow.f64 (.f64 l h) #s(literal -1 binary64))) d)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (.f64 (/.f64 d (.f64 D D)) (sqrt.f64 (/.f64 h l)))) (.f64 D D))) h)))
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Outputs
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derivations76.0ms (0.8%)

Memory

3.9MiB live, 56.0MiB allocated; 1ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 1 811 to 222 computations (87.7% saved)

preprocess113.0ms (1.1%)

Memory: -14.7MiB live, 125.7MiB allocated; 9ms collecting garbage
Compiler: Compiled 4 514 to 878 computations (80.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze398.0ms (3.9%)

sample4.8s (47.8%)

explain296.0ms (2.9%)

preprocess140.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

series83.0ms (0.8%)

rewrite56.0ms (0.6%)

eval13.0ms (0.1%)

prune90.0ms (0.9%)

series237.0ms (2.4%)

rewrite88.0ms (0.9%)

eval45.0ms (0.4%)

prune471.0ms (4.7%)

series143.0ms (1.4%)

rewrite107.0ms (1.1%)

eval54.0ms (0.5%)

prune799.0ms (7.9%)

series413.0ms (4.1%)

rewrite130.0ms (1.3%)

eval62.0ms (0.6%)

prune584.0ms (5.8%)

regimes66.0ms (0.7%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes15.0ms (0.1%)

regimes6.0ms (0.1%)

regimes40.0ms (0.4%)

regimes4.0ms (0%)

regimes22.0ms (0.2%)

regimes19.0ms (0.2%)

regimes18.0ms (0.2%)

regimes5.0ms (0%)

regimes2.0ms (0%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch97.0ms (1%)

bsearch70.0ms (0.7%)

bsearch32.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch46.0ms (0.5%)

bsearch2.0ms (0%)

bsearch106.0ms (1%)

bsearch1.0ms (0%)

bsearch146.0ms (1.4%)

bsearch58.0ms (0.6%)

bsearch2.0ms (0%)

simplify77.0ms (0.8%)

derivations76.0ms (0.8%)

preprocess113.0ms (1.1%)

end0.0ms (0%)

Profiling